(3n-3)(2n+5)=

Solution for (3n-3)(2n+5)= equation:

Simplifying
(3n + -3)(2n + 5) = 0

Reorder the terms:
(-3 + 3n)(2n + 5) = 0

Reorder the terms:
(-3 + 3n)(5 + 2n) = 0

Multiply (-3 + 3n) * (5 + 2n)
(-3(5 + 2n) + 3n * (5 + 2n)) = 0
((5 * -3 + 2n * -3) + 3n * (5 + 2n)) = 0
((-15 + -6n) + 3n * (5 + 2n)) = 0
(-15 + -6n + (5 * 3n + 2n * 3n)) = 0
(-15 + -6n + (15n + 6n2)) = 0

Combine like terms: -6n + 15n = 9n
(-15 + 9n + 6n2) = 0

Solving
-15 + 9n + 6n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 3n + 2n2) = 0

Factor a trinomial.
3((-5 + -2n)(1 + -1n)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-5 + -2n)' equal to zero and attempt to solve:

Simplifying
-5 + -2n = 0

Solving
-5 + -2n = 0

Move all terms containing n to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -2n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2n = 0 + 5
-2n = 0 + 5

Combine like terms: 0 + 5 = 5
-2n = 5

Divide each side by '-2'.
n = -2.5

Simplifying
n = -2.5
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1n = 0 + -1
-1n = 0 + -1

Combine like terms: 0 + -1 = -1
-1n = -1

Divide each side by '-1'.
n = 1

Simplifying
n = 1
Solution
n = {-2.5, 1}